Regras de Diferenciação

1 ( ) 0cdx

d= 19

2x1

1)x(senarc

dx

d

−=

2 ( )[ ] ( )x'fcxfcdx

d= 20

2x1

1)xcos(arc

dx

d

−−=

3 ( ) ( )[ ] ( ) ( )x'gx'fxgxfdx

d+=+ 21

2x1

1)x(tgarc

dx

d

+=

4 ( ) ( )[ ] ( ) ( )x'gx'fxgxfdx

d−=− 22

1xx

1)xsec(cosarc

dx

d

2−

−=

5 ( ) ( )[ ] ( ) ( ) ( ) ( )x'gxfxgx'fxgxfdx

d+= 23

1xx

1)xsec(arc

dx

d

2−

=

6 ( )( )

( ) ( ) ( ) ( )

( )[ ]2xg

x'gxfxgx'f

xg

xf

dx

d −=

24

2x1

1)x(gcotarc

dx

d

+−=

7 )x('g))x(g('f))x(g(fdx

d= 25 )xcosh()x(senh

dx

d=

8 1nn xn)x(

dx

d −= 26 )x(senh)xcosh(

dx

d=

9 xx

e)e(dx

d= 27 )x(hsec)x(tgh

dx

d 2=

10 )aln(a)a(dx

d xx= 28 )x(ghcot)x(hseccos)x(hseccos

dx

d−=

11

x

1xln

dx

d= 29 )x(tgh)x(hsec)x(hsec

dx

d−=

12 )aln(x

1)x(log

dx

da = 30 )x(hseccos)x(ghcot

dx

d 2−=

13 )xcos()x(sendx

d= 31

2x1

1)x(senharc

dx

d

+=

14 )x(sen)xcos(dx

d−= 32

1x

1)xcosh(arc

dx

d

2−

=

15 )x(sec)x(tgdx

d 2= 33

2x1

1)x(tgharc

dx

d

−=

16 )xcot()xsec(cos)xsec(cosdx

d−= 34

1xx

1)x(hseccosarc

dx

d

2+

−=

17 )x(tg)xsec()xsec(dx

d= 35

2x1x

1)x(hsecarc

dx

d

−−=

18 )x(seccos)x(gcotdx

d 2−= 36

2x1

1)x(ghcotarc

dx

d

−=